Least Common Multiple of 218/690, 959/425, 496/858

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 218/690, 959/425, 496/858 quickly i.e. 51847376 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 218/690, 959/425, 496/858 is 51847376.

LCM(218/690, 959/425, 496/858) = 51847376

LCM of 218/690, 959/425, 496/858

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 218/690,959/425,496/858

Given numbers are 218/690,959/425,496/858

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 218,959,496

Least Common Multiple of Numerators i.e. LCM of 218,959,496 is 51847376.

GCF of Denominators means GCF of 690,425,858 as per the given fractions.

GCF of 690,425,858 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 218,959,496

LCM of Fractions 218/690,959/425,496/858 is 51847376

2 218, 959, 496
109, 959, 248

∴ So the LCM of the given numbers is 2 x 109 x 959 x 248 = 51847376

Least Common Multiple of 218,959,496 with GCF Formula

Least Common Multiple of 218,959,496 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 218,959,496 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(218,959,496) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(218,959,496) x common factors =1 x 2 = 2

LCM(218,959,496) = ( 218 × 959 × 496 ) / 2

LCM(218,959,496) = 103694752 / 2

LCM(218,959,496) = 51847376


Lets's calculate GCF of 690,425,858

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51847376/1

Therefore the LCM of Fractions 218/690,959/425,496/858 is 51847376

Greatest Common Factor of 690,425,858 By Matching Biggest Common Factor Method

Greatest Common Factor of 690,425,858 By Matching Biggest Common Factor Method

Factors of 690

List of positive integer factors of 690 that divides 690 without a remainder.

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Factors of 425

List of positive integer factors of 425 that divides 425 without a remainder.

1,5,17,25,85,425

Factors of 858

List of positive integer factors of 858 that divides 858 without a remainder.

1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858

Greatest Common Factor

We found the factors 690,425,858 . The biggest common factor number is the GCF number.
So the greatest common factor 690,425,858 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 218/690, 959/425, 496/858

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 218/690, 959/425, 496/858?

Answer: LCM of Numerators as per given numbers 218/690, 959/425, 496/858 is

LCM of Numerators i.e. for 218,959,496 is 51847376

GCF of denominators i.e. for 690,425,858 is 1.

Thus, LCM of Fractions is 51847376.Finally, LCM of Fractions for 218/690, 959/425, 496/858 is 51847376.